Question

The weight of a ball gets reduced by $\frac{2}{3}$ kg from $3\frac{1}{2}$ kg after some time. What is the weight of the ball now?

• A. $\frac{13}{6}$ kg
• B. $\frac{15}{6}$ kg
• C. $\frac{17}{6}$ kg
• D. $\frac{19}{6}$ kg

Answer 1

The correct option is C $\frac{17}{6}$ kg

Final weight of the ball can be found by subtracting the weight 2/3 kg from the initial weight of the ball.

Hence,
Initial weight of the ball = $3\frac{1}{2}$ = $\frac{7}{2}$ kg
The equivalent of $\frac{7}{2}$ = $\frac{21}{6}$ kg

On the number line, this lies between 3 and 4, and at 3 parts out of 6 parts i.e.,

Reduced weight of ball = $\frac{2}{3}$ kg
Since the equivalent of $\frac{2}{3}$ = $\frac{4}{6}$ lb

On subtracting,
Final weight = $\frac{7}{2}$ - $\frac{2}{3}$
= $\frac{21}{6}$ - $\frac{4}{6}$
= $\frac{17}{6}$
= $2\frac{5}{6}$ kg

Since the weight is being subtracted, the final weight lies 4 units left of $\frac{21}{6}$ on the number line i.e. at $\frac{17}{6}$ kg.


Therefore, option (c) is the correct answer.